EBK PHYSICS OF EVERYDAY PHENOMENA
8th Edition
ISBN: 8220106637050
Author: Griffith
Publisher: YUZU
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Question
Chapter 3, Problem 5E
To determine
The velocity of the ball
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A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following.
(a) the time interval during which the ball is in motion
2R
(b) the ball's speed at the peak of its path
v=
Rg 2
√ sin 26, V 3
(c) the initial vertical component of its velocity
Rg
sin ei
sin 20
(d) its initial speed
Rg
√ sin 20
×
(e) the angle 6, expressed in terms of arctan of a fraction.
1
(f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height.
hmax
R2
(g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
Xmax
R√3
2
An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce.
8
(a) Assuming the ball is always thrown with the same initial speed, at what angle & should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 35.0° with no bounce (green path)?
24
(b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw.
Cone-bounce
no-bounce
0.940
Chapter 3 Solutions
EBK PHYSICS OF EVERYDAY PHENOMENA
Ch. 3 - A small piece of paper is dropped and flutters to...Ch. 3 - The diagram shows the positions at intervals of...Ch. 3 - The diagram shows the positions at intervals of...Ch. 3 - A lead ball and an aluminum ball, each 1 in. in...Ch. 3 - Two identical pieces of paper, one crumpled into a...Ch. 3 - Two identical pieces of paper, one crumpled into a...Ch. 3 - Aristotle stated that heavier objects fall faster...Ch. 3 - A rock is dropped from the top of a diving...Ch. 3 - The graph shows the velocity plotted against time...Ch. 3 - Prob. 10CQ
Ch. 3 - Prob. 11CQCh. 3 - A ball is thrown downward with a large starting...Ch. 3 - A ball thrown straight upward moves initially with...Ch. 3 - A rock is thrown straight upward, reaching a...Ch. 3 - A ball is thrown straight upward and then returns...Ch. 3 - A ball is thrown straight upward and then returns...Ch. 3 - A ball is thrown straight upward. At the very top...Ch. 3 - A ball is thrown straight upward and then returns...Ch. 3 - Prob. 19CQCh. 3 - A ball rolling rapidly along a tabletop rolls off...Ch. 3 - For the two balls in question 20, which, if...Ch. 3 - Is it possible for an object to have a horizontal...Ch. 3 - A ball rolls off a table with a large horizontal...Ch. 3 - A ball rolls off a table with a horizontal...Ch. 3 - An expert marksman aims a high-speed rifle...Ch. 3 - In the diagram, two different trajectories are...Ch. 3 - For either of the trajectories shown in the...Ch. 3 - Assuming that the two trajectories in the diagram...Ch. 3 - A cannonball fired at an angle of 70 to the...Ch. 3 - Will a shot fired from a cannon at a 20 launch...Ch. 3 - The diagram shows a wastebasket placed behind a...Ch. 3 - In the situation pictured in question 31, is the...Ch. 3 - In shooting a free throw in basketball, what is...Ch. 3 - In shooting a basketball from greater than...Ch. 3 - A football quarterback must hit a moving target...Ch. 3 - Prob. 1ECh. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - How high above the ground is the ball in exercise...Ch. 3 - At what time does the ball in exercise 7 reach the...Ch. 3 - Prob. 10ECh. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 1SPCh. 3 - Prob. 2SPCh. 3 - Prob. 3SPCh. 3 - Prob. 4SPCh. 3 - Prob. 5SPCh. 3 - Prob. 6SP
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